Explanation Given information: The provided expression is x − 8 x 2 − 16 − x − 8 16 − x 2 . Formula used: Steps to subtract the rational expression with opposite denominators. 1. Multiply any one expression by − 1 / − 1 . 2. After the denominators become equal, subtract the numerators and simplify. The difference of squares of two numbers a and b is a 2 − b 2 = ( a + b ) ( a − b ) . Calculation: Consider the expression, x − 8 x 2 − 16 − x − 8 16 − x 2 In the provided expression, the signs of the denominators are opposite to each other. Multiply by − 1 / − 1 to make the denominators of both the expressions equal, x − 8 x 2 − 16 − x − 8 16 − x 2 = x − 8 x 2 − 16 − x − 8 16 − x 2 ⋅ − 1 − 1 = x − 8 x 2 − 16

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter 12.5, Problem 32ES

To determine

To calculate: The simplified form of the expression x−8x2−16−x−816−x2.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.5, Problem 31ES

Chapter 12.5, Problem 33ES

Students have asked these similar questions

1. Evaluate (2,5) (3x+y)dx+(2y-x)dy (0,1) (i) along the straight lines from (0, 1) to (2, 1) and then from (2, 1) to (2,5), and (ii) along the parabola y = x² + 1. Don't use any Al tool show ur answer in pe n and paper then take

Don't use any Al tool show ur answer in pe n and paper then take 20. Solve the given system of differential equations: x' = x+y, x(0) = 0 y' = 2x, y(0) = 1

4. Verify the Cauchy-Goursat theorem for the function f(z) =225z around the closed curve C defined by a half circle || = 1 from the point (1,0) to (-1, 0) in the counterclockwise direction and then the straight line from (-1,0) to (1,0). Don't use any Al tool show ur answer in pe n and paper then take

Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The simplified form of the expression x − 8 x 2 − 16 − x − 8 16 − x 2 .

Solution Summary: The author explains the formula used to subtract the rational expression with opposite denominators.

Concept explainers

Videos

To calculate: The simplified form of the expression x−8x2−16−x−816−x2.

Want to see the full answer?

Chapter 12 Solutions